If we're talking in the context of Blade Runner dystopias of a crowded, polluted, dying environment run by powerful corporations, then the Federation is nothing

If we're talking in the context of Blade Runner dystopias of a crowded, polluted, dying environment run by powerful corporations, then the Federation is nothing like that. Certainly not on Earth. As far as diversity goes, that's just a matter of what was allowed on tv at the time. TOS certainly portrayed a society where racism was no longer an issue, so I think we can safely attribute the same to LGBTQ equality. It was implied and nothing in any of the shows suggest otherwise to my knowledge.